H1-projection into the set of convex functions : a saddle-point formulation

dc.contributor.author	Carlier, Guillaume
dc.contributor.author	Lachand-Robert, Thomas
dc.contributor.author	Maury, Bertrand
dc.date.accessioned	2011-07-18T12:50:57Z
dc.date.available	2011-07-18T12:50:57Z
dc.date.issued	2001
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/6714
dc.language.iso	en	en
dc.subject	saddle point	en
dc.subject	Convex functions	en
dc.subject.ddc	515	en
dc.title	H1-projection into the set of convex functions : a saddle-point formulation	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	We investigate numerical methods to approximate the projection-operator from H1 0 into the set of convex functions. We introduce a new formulation of the problem, based on gradient fi elds. It leads in a natural way to an in finite-dimensional saddle-point problem, which can be shown to be ill-posed in general. Existence and uniqueness of a saddle point is obtained for a Lagrangian de ned in suitable spaces. This well-posed formulation does not lead to an implementable algorithm. Yet, numerical experiments based on a discretization of the fi rst formulation exhibit a good behaviour.	en
dc.relation.isversionofjnlname	ESAIM. Proceedings
dc.relation.isversionofjnlvol	10	en
dc.relation.isversionofjnldate	2001
dc.relation.isversionofjnlpages	277-289	en
dc.relation.isversionofdoi	http://dx.doi.org/10.1051/proc:2001017	en
dc.description.sponsorshipprivate	oui	en
dc.relation.isversionofjnlpublisher	EDP Sciences	en
dc.subject.ddclabel	Analyse	en

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